Finding the Third Proportional to 80,490 and 175,938

Step by Step Solution

1. Step 1: Write the proportion equation
   80,490 : 175,938 = 175,938 : x
2. Step 2: Convert to fraction form
   80,490/175,938 = 175,938/x
3. Step 3: Cross multiply
   80,490x = 175,938 × 175,938
4. Step 4: Simplify right side
   80,490x = 30,954,179,844
5. Step 5: Solve for x
   x = 30,954,179,844/80,490
6. Step 6: Final answer
   x = 384,571.75